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Finding the Fourth Proportional to 10.42, 14.38 and 7.97

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Solution

The fourth proportional to 10.42, 14.38 and 7.97 is: 10.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 14.38 = 7.97 : x
  2. Step 2: Convert to fraction form
    10.42/14.38 = 7.97/x
  3. Step 3: Cross multiply
    10.42x = 14.38 × 7.97
  4. Step 4: Simplify right side
    10.42x = 114.52
  5. Step 5: Solve for x
    x = 114.52/10.42
  6. Step 6: Final answer
    x = 10.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.